Explanation Given Information: The figure shown below and measurements of triangle as a = 415 m , b = 325 m and C = 108.5 ° . Formula used: According to law of cosine: c 2 = a 2 + b 2 − 2 a b cos C Acoording to laws of sine: c sin C = b sin C = a sin A Where a , b , c are the length of sides of trianlge A , B , C are the angle of trianlge Calculation: The angle C of triangle is given so use the cosine law to calculate the length of c : c 2 = a 2 + b 2 − 2 a b cos C Substitute the values of a = 415 m , b = 325 m and C = 108.5 ° in the above equation: c 2 = ( 415 m ) 2 + ( 325 m ) 2 − 2 × ( 415 m ) × ( 325 m ) × cos 108.5 Simplify the equation by solving cos 108.5 , c 2 = ( 415 m ) 2 + ( 325 m ) 2 − 2 × ( 415 m ) × ( 325 m ) × cos 108.5 = ( 415 m ) 2 + ( 325 m ) 2 − 2 × ( 415 m ) × ( 325 m ) × ( − 0.3173 ) Now square the term and multiply: c 2 = ( 415 m ) 2 + ( 325 m ) 2 − 2 × ( 415 m ) × ( 325 m ) × ( − 0

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ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 14.5, Problem 8E

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To calculate: The missing parameter of the triangle whose measurements are a=415 m , b=325 m and C=108.5°.

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Chapter 14.5, Problem 7E

Chapter 14.5, Problem 9E

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Chapter 14 Solutions

Elementary Technical Mathematics

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The missing parameter of the triangle whose measurements are a = 415 m , b = 325 m and C = 108.5 ° .

Solution Summary: The author explains how to calculate the missing parameter of the triangle whose measurements are underset_A=40.7°,B=30.8°

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To calculate: The missing parameter of the triangle whose measurements are a=415 m , b=325 m and C=108.5°.

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Chapter 14 Solutions